PURDUE UNIVERSITY

EAS 105-THE PLANETS

Prof. Robert L. Nowack

 

Lecture 18

 

 

Rings and Things

 

Galileo first saw the Rings of Saturn in 1610.  He thought they might be bumps or a triple planet.  Huygens was first to note there is a flat ring around Saturn.  In 1675, Cassini found there were 2 rings with a gap in between, now called the Cassini Division.

 

 

Saturn

 

 

 

 

Since, by Kepler's Laws, the inner parts of the rings must be orbiting the planet faster than the outer parts, the rings must not be solid.  In fact, the rings are not solid, but made up of billions of small pieces of debris.  For Saturn, the particles are primarily water ice with sizes from grains of sand up to house-size boulders.  The rings make up a thin sheet of particles only 20-30 meters thick all orbiting Saturn.  However, the lateral dimension of the rings is huge.  Saturn's radius is about 60,000 kilometers and the rings start from 75,510 km and extend out to 140,180 km or more.

 

 

 

 

Each particle making up the rings follows an almost circular orbit in the equatorial plane of Saturn.  (If they didn't follow circular orbits, collisions would result.) 

 

There are three distinct rings seen from Earth called A, B, and C.  Also, a narrow F-ring was found in 1979 by the Voyager spacecraft.  A thin D-ring was found by Voyager to extend from the atmosphere of Saturn to the C-ring.  The C-ring is very thin, and Saturn can be seen through it.

 

 

 

 

At a distance 32,000 kilometers from Saturn, the brightest B-ring starts. There are few empty gaps and the particles are so densely packed as to be opaque.  One of the stranger features observed for the B-ring are dark radial spokes that lasts for as long as a rotation and rotates like spokes on a wheel.  These spoke-like features consist of fine particles that form above the plane of the rings.

 

 

Spokes in Saturn’s B-ring

 

 

 

 

However, Kepler's Laws should force these spokes to shear and lose their shape.  These transient features consist of very fine particles hovering above the rings.  One possible mechanism involves electrically charged fine particles that rise out of the ring plane.

 

At the outer edge of the B-ring is the Cassini Division.  However, this division is not completely empty.  It appears to be some type of resonance with the nearest medium sized Moon, Mimas, which is much farther out, but has double the orbital period.

 

The A-ring ends abruptly.  This also appears to be some type of resonance feature with nearest medium sized satellite, Mimas. 

 

 

Saturn’s A-ring

 

 

 

 

Beyond the A-ring is the eccentric F-ring which has a braided appearance.  For this case, there appears to be two small satellites, Prometheus and Pandora, one on each side of the ring.  These are called Shepherd Satellites because of their role in keeping the F-ring narrowly confined.

 

 

Shepherd Satellites Prometheus and Pandora

 

 

 

 

Many of the divisions in the rings of Saturn are related to gravitational resonances with outer satellites.  There is also significant fine structure in Saturn's rings.

 

 

 

 

One is a spiral pattern of light and dark lines caused by gravitational interaction between the particles called Spiral Density Waves.  Another is Bending Waves in which there are wrinkles in the rings.

 

 

Spiral Density Waves in A-ring

 

 

 

 

 

Rings of Uranus

 

The rings of Uranus were discovered in 1977 using a method called occultation.

 

 

 

 

The rings of Uranus as revealed by measurements of occultation carried out from the Earth.  Each dot corresponds to an occultation event observed at the observatory indicated.

 

About every 10 years or so, Uranus passes in front of a bright star blocking it out.  This can be used to study the atmosphere of Uranus just as the star is blocked out by the planet.  However, for Uranus, the starlight started to "wink out” several times before it was “occulted” by the planet.  This was inferred by James Elliot and his colleagues from MIT to be the result of narrow dark rings of Uranus.

 

A better look at the rings of Uranus was found from Voyager 2.  There appears to be 5 main rings:  Alpha, Beta, Gamma, Delta and Epsilon.

 

 

 

 

These are in some sense opposite to those of Saturn.  Uranus’ rings are very narrow and dark in contrast to Saturn’s rings which are wide and bright.

 

 

Dark Rings of Uranus

 

 

 

 

The schematic projection below represents the Uranus ring system on the equatorial plane.  Of nine rings, only Epsilon shows appreciable width.

 

 

 

 

At least the Epsilon, E, ring seems to be associated with two shepherding satellites which keep the ring particles in place by resonant gravitational forces.

 

 

Shepherd Satellites Cordelia and Ophelia

 

 

 

 

Cordelia (1986U7) and Ophelia (1986U8), a pair of shepherding satellites on each side of Epsilon ring of Uranus keeping the ring particles in place through resonant gravitational forces.  No other shepherds for other rings were found.

 

 

Voyager 2 also found several rings for Neptune: two bright rings and a faint inner ring.  This was from the 1989 flyby of Neptune.

 

 

Block out of photograph so as to see rings.

 

 

 

 

A composite portrait of Neptune's ring system.  Two main rings orbit 38,000 and 27,500 kilometers from the planet's cloud tops.  A diffuse sheet of material at least 4,000 kilometers wide extends outward from the inner of these two rings.  There is also a very tenuous third ring 17,000 kilometers from Neptune.  The outer two rings were most clearly visible in backlit views such as this, indicating that they are dominated by very small (micron size) particles.  The narrow characteristic of the rings probably means that unseen “shepherding satellites” are orbiting among them and controlling the rings' extent with their weak gravity.

 

 

Finally, in 1979, even Jupiter was found to have a primary ring, although much more diffuse than other ring systems.

 

What causes rings? Two basic theories have been proposed:

 

(1)  The breakup or collision theory - Rings are the remains of a shattered satellite or from collision of a comet with a moon.

 

(2)  Rings are original material that never were able to come together and form a satellite.

 

In either case, tidal forces play an important role.  These are the forces that tend to distort a satellite of a larger planet raising bulges both toward and away from the planet.  Around each planet is a tidal stability limit called the Roche Limit.

 

 

 

 

The ring systems of Jupiter, Saturn, Uranus and Neptune compared with the location of the tidal stability limit for each planet.  All four ring drawings are scaled to the diameters of their respective planet.

 

Within this distance, small particles won't come together under their own gravity to form a larger body.  Most ring systems can maintain themselves only within this Roche Limit.  Of course bodies inside the Roche Limit of a given planet won't get pulled apart since they typically have some internal strength.  Nonetheless, if a satellite near the Roche Limit were shattered by an impact, the debris could be spread out in this region.  Saturn’s rings contain about as much material as a small icy satellite of a radius of about 125 kilometers.